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Answer :
Let's solve the problem of finding the correct number of significant figures in the calculation [tex]\(31.580 + 4.26\)[/tex].
1. Identify the Number of Significant Figures:
- [tex]\(31.580\)[/tex] has 5 significant figures.
- [tex]\(4.26\)[/tex] has 3 significant figures.
2. Addition Rule for Significant Figures:
- When adding or subtracting numbers, the answer should have the same number of decimal places as the number with the fewest decimal places.
3. Perform the Addition:
- Adding the two numbers, [tex]\(31.580 + 4.26\)[/tex], gives us an intermediate result of [tex]\(35.84\)[/tex].
4. Determine Decimal Places:
- Here, [tex]\(31.580\)[/tex] goes to three decimal places, but [tex]\(4.26\)[/tex] goes to two decimal places. So we round the answer to two decimal places.
5. Write the Final Answer:
- Therefore, the result with the correct number of significant figures is [tex]\(35.84\)[/tex].
Thus, the correct answer from the given options is [tex]\(35.84\)[/tex].
1. Identify the Number of Significant Figures:
- [tex]\(31.580\)[/tex] has 5 significant figures.
- [tex]\(4.26\)[/tex] has 3 significant figures.
2. Addition Rule for Significant Figures:
- When adding or subtracting numbers, the answer should have the same number of decimal places as the number with the fewest decimal places.
3. Perform the Addition:
- Adding the two numbers, [tex]\(31.580 + 4.26\)[/tex], gives us an intermediate result of [tex]\(35.84\)[/tex].
4. Determine Decimal Places:
- Here, [tex]\(31.580\)[/tex] goes to three decimal places, but [tex]\(4.26\)[/tex] goes to two decimal places. So we round the answer to two decimal places.
5. Write the Final Answer:
- Therefore, the result with the correct number of significant figures is [tex]\(35.84\)[/tex].
Thus, the correct answer from the given options is [tex]\(35.84\)[/tex].
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